Days off school 0 Overview Using this Resource Connecting to the Curriculum Marking Student Responses Working with Students Further Resources This task is about solving problems and identifying equations about days off school. Question 1Change answer 1. In June, Riki had 2 more days off school than Māia. Between them they had 8 days off school. 1. In June, Riki had 2 more days off school than Māia. Between them they had 8 days off school. i) How many days off school did Riki have? Question ii) You can solve this problem using 2 equations. One of thes is s + p = 8. Which other equation is needed? (p = number of days Māia had off school in June). p = s + 2 p = s + 8 s = p + 2 s = p + 8 s + p = 2 Question 1Change answer 2. In July, Riki and Māia again had 8 days off school in total, but this time Māia had 4 more days off than Riki. 2. In July, Riki and Māia again had 8 days off school in total, but this time Māia had 4 more days off than Riki. i) How many days off school did Riki have in July? ii) One equation that describes the days off school in July is s + p = 8. Write another equation you will need to show how many days Riki had off in July. Task administration: This task can be completed with pencil and paper or online. Copyright: Clkr.com Level: 4 Curriculum info: Maths, Number and Algebra, Equations and expressions Keywords: linear equations Description of task: Students solve mathematical problems about days off school and identify another linear equation that represents the situation. Learning Progression FrameworksThis resource can provide evidence of learning associated with Using symbols and expressions to think mathematically, sets 4-5 within the Mathematics Learning Progressions Frameworks.Read more about the Learning Progressions Frameworks. Answers/responses: Y8 (04/1997) Y9 (04/1997) a) i) ii) 5 [2s = 10; Riki had 5, Māia had 3]. C difficult difficult difficult moderate b) i) ii) 2 s = p – 4 or p = s + 4. or any equivalent equation. difficult very difficult difficult very difficult Diagnostic and formative information: Common error Likely calculation Likely misconception a) i) 6 10 2 + 6 = 8 2 + 8 Reads "Riki had 2 days off school" instead of "2 more days". b) i) 4 4 + p = 8 Reads "Māia had 4 days off" instead of "4 more days". Vehicle weights Which taxi company? Oranges and lemons Weight calculation Doing the lawn Friday Algebra Multiplying and dividing Age and time problems Balancing the bank account At the fair Finding width and length Going fishing Pizza and chicken Dinosaur algebra Tennis ball equations Computer repairs What's my number? Hare's progress Write an equation How many coins? Rescue helicopters Distance jogging Washing machine repair 4 by 4 Number square II Car maintenance Finding the value of n